3004808352 has 384 divisors, whose sum is σ = 10481264640. Its totient is φ = 731566080.

The previous prime is 3004808329. The next prime is 3004808357. The reversal of 3004808352 is 2538084003.

It is not an unprimeable number, because it can be changed into a prime (3004808357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7137102 + ... + 7137522.

It is an arithmetic number, because the mean of its divisors is an integer number (27294960).

Almost surely, 2^3004808352 is an apocalyptic number.

3004808352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004808352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240632320).

3004808352 is an abundant number, since it is smaller than the sum of its proper divisors (7476456288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3004808352 is a wasteful number, since it uses less digits than its factorization.

3004808352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3004808352 is about 54816.1322240087. The cubic root of 3004808352 is about 1443.0196971833.

The spelling of 3004808352 in words is "three billion, four million, eight hundred eight thousand, three hundred fifty-two".